Hypersingular integral equations-past, present, future

DOI10.1016/J.NA.2004.12.036zbMath1159.45300OpenAlexW2132658463MaRDI QIDQ999551

Johan H. de Klerk

Publication date: 4 February 2009

Published in: Nonlinear Analysis. Theory, Methods \& Applications. Series A: Theory and Methods (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.na.2004.12.036

Mathematics Subject Classification ID

History of integral equations (45-03)

Related Items (6)

Regularization of divergent integrals: a comparison of the classical and generalized-functions approaches ⋮ MC-Nonlocal-PINNs: Handling Nonlocal Operators in PINNs Via Monte Carlo Sampling ⋮ A posteriori error estimates for hypersingular integral equation on spheres with spherical splines ⋮ A least squares-based approach to evaluating strongly singular integrals ⋮ A domain decomposition method for solving the hypersingular integral equation on the sphere with spherical splines ⋮ Evaluation of finite part integrals using a regularization technique that decreases instability

Cites Work

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• Periodic Array of Cracks in a Half-Plane Subjected to Arbitrary Loading
• On the solution of integral equations with strongly singular kernels
• Solutions of integral equations via L ₁-approximations
• Evaluations of hypersingular integrals using Gaussian quadrature
• Remarks on the Gauss quadrature rule for a particular class of finite‐part integrals
• Gauss quadrature rules for finite part integrals

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